Finite symplectic matrix groups
Markus Kirschmer
TL;DR
This paper classifies the largest finite subgroups of symplectic groups over rational numbers for dimensions up to 22, providing a comprehensive understanding of their structure and conjugacy classes.
Contribution
It offers a complete classification of maximal finite subgroups of Sp(2n,Q) for 1 <= n <= 11, which was previously unknown.
Findings
Complete classification of maximal finite subgroups for specified dimensions.
Identification of conjugacy classes within these subgroups.
Structural insights into symplectic matrix groups.
Abstract
This paper classifies the maximal finite subgroups of Sp(2n,Q) for 1 <= n <= 11 up to conjugacy in GL(2n,Q).
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsFinite Group Theory Research · Geometric and Algebraic Topology · Coding theory and cryptography